using UnityEngine;
using System;

namespace UnityEngine.Experimental.Rendering.HDPipeline
{
    public partial class SPTDistribution
    {
        //-------------------------------------------------------------------------------------------
        // SPTD (Spherical Pivot Transformed Distributions): Pivot parameter for GGX.
        // The pivot transform fits the GGX from the transform of a uniform distribution,
        // so the integral against solid angle measure yields 4*pi. 
        // Use FGD (with D == GGX) to renormalize to GGX.
        //-------------------------------------------------------------------------------------------

        // This table is precomputed and indexed by sqrt(roughness) = PerceptualRoughness 
        // and (2*theta)/PI, both in 64 steps. 
        // entry[0] == PivotNorm, entry[1] == PivotElevation (rest is pre-integration, not used)
        public static double[,] s_PivotLUTData = new double[k_PivotLUTResolution * k_PivotLUTResolution, k_PivotLUTEntryDim]
        {
            {0.998002, 0.000000, 1.000000, 1.000000},
            {0.998002, 0.000000, 1.000000, 1.000000},
            {0.997987, 0.000000, 1.000000, 1.000000},
            {0.995475, 0.000000, 1.000000, 1.000000},
            {0.991970, 0.000000, 1.000000, 1.000000},
            {0.987481, 0.000000, 1.000000, 1.000000},
            {0.982023, 0.000000, 1.000000, 1.000000},
            {0.975610, 0.000000, 1.000000, 1.000000},
            {0.968262, 0.000000, 1.000000, 1.000000},
            {0.960000, 0.000000, 1.000000, 1.000000},
            {0.950848, 0.000000, 1.000000, 1.000000},
            {0.940832, 0.000000, 0.999998, 1.000000},
            {0.929979, 0.000000, 0.999995, 0.999995},
            {0.918319, 0.000000, 0.999988, 0.999990},
            {0.905884, 0.000000, 0.999972, 0.999971},
            {0.892707, 0.000000, 0.999947, 0.999936},
            {0.878823, 0.000000, 0.999905, 0.999853},
            {0.864269, 0.000000, 0.999829, 0.999670},
            {0.849083, 0.000000, 0.999701, 0.999138},
            {0.833309, 0.000000, 0.999451, 0.996746},
            {0.817000, 0.000000, 0.998959, 0.979578},
            {0.800245, 0.000000, 0.997833, 0.979309},
            {0.783256, 0.000000, 0.994754, 0.978836},
            {0.766838, 0.000000, 0.984304, 0.977972},
            {0.752409, 0.000000, 0.958531, 0.976223},
            {0.734104, 0.000000, 0.957760, 0.972205},
            {0.715698, 0.000000, 0.956561, 0.962466},
            {0.697119, 0.000000, 0.954639, 0.953919},
            {0.678513, 0.000000, 0.951438, 0.949829},
            {0.660123, 0.000000, 0.945965, 0.942492},
            {0.642463, 0.000000, 0.936538, 0.929870},
            {0.626094, 0.000000, 0.920911, 0.921319},
            {0.610358, 0.000000, 0.904241, 0.911112},
            {0.591493, 0.000000, 0.897121, 0.896015},
            {0.574432, 0.000000, 0.886849, 0.885105},
            {0.558394, 0.000000, 0.872455, 0.869971},
            {0.543965, 0.000000, 0.853116, 0.855017},
            {0.529288, 0.000000, 0.837067, 0.838328},
            {0.515049, 0.000000, 0.822361, 0.821241},
            {0.502417, 0.000000, 0.803759, 0.802352},
            {0.487196, 0.000000, 0.780937, 0.783874},
            {0.474266, 0.000000, 0.764043, 0.763309},
            {0.462847, 0.000000, 0.743935, 0.743058},
            {0.452939, 0.000000, 0.720302, 0.721929},
            {0.442980, 0.000000, 0.700322, 0.699755},
            {0.434531, 0.000000, 0.678374, 0.677721},
            {0.421734, 0.000000, 0.654089, 0.655456},
            {0.412596, 0.000000, 0.633143, 0.632681},
            {0.405555, 0.000000, 0.609768, 0.609629},
            {0.398658, 0.000000, 0.586846, 0.586831},
            {0.392295, 0.000000, 0.564682, 0.564287},
            {0.387248, 0.000000, 0.540736, 0.541772},
            {0.382735, 0.000000, 0.519746, 0.519428},
            {0.377585, 0.000000, 0.497205, 0.497353},
            {0.373750, 0.000000, 0.475887, 0.475624},
            {0.370449, 0.000000, 0.454889, 0.454606},
            {0.367293, 0.000000, 0.433727, 0.434099},
            {0.355295, 0.000000, 0.414316, 0.414085},
            {0.352426, 0.000000, 0.394048, 0.394605},
            {0.348919, 0.000000, 0.375894, 0.375698},
            {0.346727, 0.000000, 0.357465, 0.357386},
            {0.344289, 0.000000, 0.339848, 0.339871},
            {0.341995, 0.000000, 0.323250, 0.323085},
            {0.340625, 0.000000, 0.306253, 0.306905},
            {0.998003, -0.024933, 1.000000, 1.000000},
            {0.998003, -0.024933, 1.000000, 1.000000},
            {0.997987, -0.024933, 1.000000, 1.000000},
            {0.995476, -0.024933, 1.000000, 1.000000},
            {0.991971, -0.024933, 1.000000, 1.000000},
            {0.987483, -0.024933, 1.000000, 1.000000},
            {0.982025, -0.024933, 1.000000, 1.000000},
            {0.975613, -0.024933, 1.000000, 1.000000},
            {0.968267, -0.024933, 1.000000, 0.999999},
            {0.960006, -0.024933, 1.000000, 0.999999},
            {0.950856, -0.024933, 0.999997, 0.999998},
            {0.940840, -0.024933, 0.999997, 0.999995},
            {0.929989, -0.024933, 0.999992, 0.999990},
            {0.918331, -0.024933, 0.999984, 0.999980},
            {0.905898, -0.024933, 0.999970, 0.999959},
            {0.892723, -0.024933, 0.999946, 0.999923},
            {0.878841, -0.024933, 0.999904, 0.999842},
            {0.864289, -0.024932, 0.999830, 0.999660},
            {0.849104, -0.024931, 0.999697, 0.999119},
            {0.833333, -0.024932, 0.999449, 0.996613},
            {0.817027, -0.024932, 0.998948, 0.981824},
            {0.800276, -0.024930, 0.997807, 0.979298},
            {0.783295, -0.024928, 0.994653, 0.978826},
            {0.766938, -0.024898, 0.983852, 0.977957},
            {0.752213, -0.024927, 0.959419, 0.976184},
            {0.734147, -0.024899, 0.957749, 0.972091},
            {0.715733, -0.024939, 0.956543, 0.962188},
            {0.696240, 0.000000, 0.954606, 0.953875},
            {0.678536, -0.024902, 0.951381, 0.949746},
            {0.659513, 0.000000, 0.945858, 0.942335},
            {0.642559, -0.024779, 0.936342, 0.930166},
            {0.625606, 0.000000, 0.920614, 0.921210},
            {0.609674, 0.000000, 0.904315, 0.910927},
            {0.591298, 0.000000, 0.897007, 0.896979},
            {0.574139, 0.000000, 0.886688, 0.884940},
            {0.558101, 0.000000, 0.872241, 0.869864},
            {0.543946, -0.024354, 0.852983, 0.854835},
            {0.528995, 0.000000, 0.836911, 0.838200},
            {0.514853, 0.000000, 0.822166, 0.821049},
            {0.502417, 0.000000, 0.803528, 0.802552},
            {0.486805, 0.000000, 0.782203, 0.783659},
            {0.474299, -0.022846, 0.763846, 0.763512},
            {0.462847, 0.000000, 0.743709, 0.742928},
            {0.452744, 0.000000, 0.720980, 0.721715},
            {0.443175, 0.000000, 0.700119, 0.699938},
            {0.434336, 0.000000, 0.678156, 0.677775},
            {0.421343, 0.000000, 0.654803, 0.655246},
            {0.412596, 0.000000, 0.632943, 0.632555},
            {0.405555, 0.000000, 0.609625, 0.609805},
            {0.398658, 0.000000, 0.586737, 0.586996},
            {0.392295, 0.000000, 0.564492, 0.564225},
            {0.386586, -0.014003, 0.541467, 0.541606},
            {0.381954, 0.000000, 0.519571, 0.519346},
            {0.377585, 0.000000, 0.497281, 0.497419},
            {0.373750, 0.000000, 0.475742, 0.475863},
            {0.370059, 0.000000, 0.454735, 0.454738},
            {0.367293, 0.000000, 0.433983, 0.434099},
            {0.355295, 0.000000, 0.414179, 0.414003},
            {0.352035, 0.000000, 0.394488, 0.394547},
            {0.349309, 0.000000, 0.375773, 0.375747},
            {0.346337, 0.000000, 0.357459, 0.357564},
            {0.344289, 0.000000, 0.339888, 0.340012},
            {0.342385, 0.000000, 0.323148, 0.323099},
            {0.340625, 0.000000, 0.306793, 0.306861},
            {0.998003, -0.049866, 1.000000, 1.000000},
            {0.998003, -0.049866, 1.000000, 1.000000},
            {0.997988, -0.049866, 1.000000, 1.000000},
            {0.995478, -0.049866, 1.000002, 1.000000},
            {0.991975, -0.049866, 1.000000, 1.000000},
            {0.987489, -0.049867, 1.000000, 1.000000},
            {0.982034, -0.049866, 1.000000, 1.000000},
            {0.975625, -0.049866, 0.999999, 1.000000},
            {0.968281, -0.049866, 0.999999, 1.000000},
            {0.960024, -0.049866, 1.000000, 0.999999},
            {0.950878, -0.049866, 0.999998, 0.999998},
            {0.940867, -0.049866, 0.999996, 0.999995},
            {0.930021, -0.049867, 0.999990, 0.999991},
            {0.918368, -0.049866, 0.999982, 0.999979},
            {0.905940, -0.049866, 0.999968, 0.999959},
            {0.892771, -0.049866, 0.999943, 0.999917},
            {0.878894, -0.049865, 0.999900, 0.999839},
            {0.864347, -0.049865, 0.999824, 0.999648},
            {0.849170, -0.049864, 0.999688, 0.999074},
            {0.833405, -0.049862, 0.999435, 0.996168},
            {0.817106, -0.049860, 0.998922, 0.983770},
            {0.800368, -0.049859, 0.997732, 0.979279},
            {0.783434, -0.049852, 0.994345, 0.978800},
            {0.767198, -0.049844, 0.982442, 0.977905},
            {0.751830, -0.049854, 0.962724, 0.976058},
            {0.734307, -0.049891, 0.957709, 0.971727},
            {0.715836, -0.049800, 0.956485, 0.962121},
            {0.697275, -0.049806, 0.954508, 0.953901},
            {0.678684, -0.049766, 0.951207, 0.949486},
            {0.660378, -0.049677, 0.945530, 0.941859},
            {0.642768, -0.049649, 0.935758, 0.930911},
            {0.624114, 0.000000, 0.919995, 0.920853},
            {0.608184, 0.000000, 0.905935, 0.910394},
            {0.592436, -0.049684, 0.896665, 0.897600},
            {0.574801, -0.049064, 0.886201, 0.884427},
            {0.558841, -0.048919, 0.871593, 0.870101},
            {0.543990, -0.048584, 0.853807, 0.854522},
            {0.529455, -0.048104, 0.837072, 0.838324},
            {0.515362, -0.047101, 0.821582, 0.820754},
            {0.501449, -0.048662, 0.802835, 0.802707},
            {0.486926, -0.046096, 0.783127, 0.783223},
            {0.473875, 0.000000, 0.763264, 0.763605},
            {0.463146, -0.044152, 0.743037, 0.742872},
            {0.452702, -0.042712, 0.721654, 0.721566},
            {0.443504, -0.041490, 0.699715, 0.699935},
            {0.434940, -0.039957, 0.677699, 0.677726},
            {0.423599, -0.042554, 0.655375, 0.655242},
            {0.413140, -0.037371, 0.632370, 0.632580},
            {0.405165, 0.000000, 0.609875, 0.609766},
            {0.398658, 0.000000, 0.587031, 0.586946},
            {0.392295, 0.000000, 0.564122, 0.564275},
            {0.387639, 0.000000, 0.541893, 0.541759},
            {0.381954, 0.000000, 0.519214, 0.519467},
            {0.377585, 0.000000, 0.497585, 0.497478},
            {0.373750, 0.000000, 0.475921, 0.475886},
            {0.370059, 0.000000, 0.454763, 0.454794},
            {0.366902, 0.000000, 0.434326, 0.434233},
            {0.356076, 0.000000, 0.413974, 0.414207},
            {0.352035, 0.000000, 0.394835, 0.394751},
            {0.349309, 0.000000, 0.375763, 0.375892},
            {0.346727, 0.000000, 0.357711, 0.357683},
            {0.344368, -0.004874, 0.340185, 0.340146},
            {0.341995, 0.000000, 0.323117, 0.323287},
            {0.340234, 0.000000, 0.307143, 0.307095},
            {0.998005, -0.074800, 1.000000, 1.000000},
            {0.998005, -0.074800, 1.000000, 1.000000},
            {0.997989, -0.074800, 1.000000, 1.000000},
            {0.995482, -0.074800, 1.000000, 1.000000},
            {0.991981, -0.074799, 0.999999, 1.000000},
            {0.987499, -0.074799, 1.000001, 1.000000},
            {0.982048, -0.074800, 0.999999, 1.000000},
            {0.975644, -0.074800, 1.000000, 0.999999},
            {0.968306, -0.074799, 0.999999, 0.999999},
            {0.960055, -0.074799, 0.999999, 0.999998},
            {0.950915, -0.074799, 0.999996, 0.999996},
            {0.940912, -0.074799, 0.999993, 0.999992},
            {0.930073, -0.074799, 0.999988, 0.999986},
            {0.918428, -0.074799, 0.999980, 0.999975},
            {0.906010, -0.074798, 0.999963, 0.999953},
            {0.892849, -0.074799, 0.999937, 0.999913},
            {0.878983, -0.074797, 0.999893, 0.999831},
            {0.864446, -0.074797, 0.999815, 0.999630},
            {0.849279, -0.074796, 0.999675, 0.998993},
            {0.833525, -0.074794, 0.999412, 0.995279},
            {0.817240, -0.074790, 0.998875, 0.985142},
            {0.800524, -0.074784, 0.997599, 0.979252},
            {0.783647, -0.074776, 0.993783, 0.978754},
            {0.767638, -0.074775, 0.980223, 0.977821},
            {0.751616, -0.074757, 0.965475, 0.975838},
            {0.734464, -0.074775, 0.957641, 0.971088},
            {0.716089, -0.074751, 0.956383, 0.962563},
            {0.697483, -0.074705, 0.954342, 0.954785},
            {0.678963, -0.074588, 0.950908, 0.949048},
            {0.660703, -0.074592, 0.944969, 0.941052},
            {0.643282, -0.074401, 0.934767, 0.931420},
            {0.626737, -0.074134, 0.920455, 0.920812},
            {0.609705, -0.074313, 0.907562, 0.909750},
            {0.592826, -0.074342, 0.896089, 0.897867},
            {0.575511, -0.074140, 0.885384, 0.883856},
            {0.559294, -0.073259, 0.870510, 0.870091},
            {0.544011, -0.072854, 0.854485, 0.854353},
            {0.529599, -0.071680, 0.837734, 0.838166},
            {0.515483, -0.071477, 0.820604, 0.820660},
            {0.501280, -0.071688, 0.802494, 0.802465},
            {0.485047, 0.000000, 0.783623, 0.783308},
            {0.474914, -0.068065, 0.763158, 0.763346},
            {0.463564, -0.066178, 0.742549, 0.742734},
            {0.453014, -0.064497, 0.721900, 0.721608},
            {0.443748, -0.062709, 0.699694, 0.699747},
            {0.433817, -0.062013, 0.677508, 0.677626},
            {0.424097, -0.060662, 0.655527, 0.655245},
            {0.413480, -0.056359, 0.632293, 0.632547},
            {0.405965, -0.052903, 0.609870, 0.609793},
            {0.398983, -0.050538, 0.587081, 0.587044},
            {0.392272, 0.000000, 0.564170, 0.564340},
            {0.386843, 0.000000, 0.541957, 0.541779},
            {0.381677, 0.000000, 0.519511, 0.519529},
            {0.377585, 0.000000, 0.497623, 0.497633},
            {0.373637, -0.031504, 0.476084, 0.476114},
            {0.370449, 0.000000, 0.454958, 0.455030},
            {0.366902, 0.000000, 0.434418, 0.434430},
            {0.355295, 0.000000, 0.414408, 0.414405},
            {0.352035, 0.000000, 0.394929, 0.394974},
            {0.348919, 0.000000, 0.376155, 0.376154},
            {0.346727, 0.000000, 0.357923, 0.357979},
            {0.344094, -0.007267, 0.340392, 0.340443},
            {0.342385, 0.000000, 0.323558, 0.323572},
            {0.340234, 0.000000, 0.307301, 0.307379},
            {0.998007, -0.099733, 1.000001, 1.000000},
            {0.998007, -0.099733, 1.000001, 1.000000},
            {0.997992, -0.099733, 1.000000, 1.000000},
            {0.995487, -0.099733, 0.999999, 1.000000},
            {0.991990, -0.099733, 1.000000, 1.000000},
            {0.987512, -0.099733, 0.999999, 1.000000},
            {0.982067, -0.099732, 0.999999, 1.000000},
            {0.975670, -0.099733, 0.999999, 1.000000},
            {0.968340, -0.099733, 1.000000, 0.999998},
            {0.960098, -0.099733, 0.999996, 0.999998},
            {0.950968, -0.099733, 0.999995, 0.999996},
            {0.940974, -0.099732, 0.999991, 0.999991},
            {0.930146, -0.099732, 0.999986, 0.999984},
            {0.918514, -0.099732, 0.999976, 0.999970},
            {0.906107, -0.099731, 0.999959, 0.999946},
            {0.892960, -0.099730, 0.999930, 0.999905},
            {0.879107, -0.099729, 0.999883, 0.999815},
            {0.864585, -0.099729, 0.999800, 0.999599},
            {0.849431, -0.099728, 0.999654, 0.998856},
            {0.833693, -0.099723, 0.999379, 0.993704},
            {0.817427, -0.099719, 0.998808, 0.986135},
            {0.800736, -0.099715, 0.997397, 0.979212},
            {0.783956, -0.099708, 0.992878, 0.978690},
            {0.767937, -0.099711, 0.979584, 0.977691},
            {0.751546, -0.099690, 0.967744, 0.975504},
            {0.734680, -0.099589, 0.957621, 0.970133},
            {0.716392, -0.099665, 0.956237, 0.962951},
            {0.697773, -0.099567, 0.954101, 0.955649},
            {0.679296, -0.099523, 0.950472, 0.948405},
            {0.661153, -0.099375, 0.944153, 0.940418},
            {0.643878, -0.099176, 0.933351, 0.931660},
            {0.626746, -0.099062, 0.921050, 0.920881},
            {0.609873, -0.099020, 0.908793, 0.909376},
            {0.593113, -0.098862, 0.895924, 0.897785},
            {0.576319, -0.098600, 0.884225, 0.883844},
            {0.559802, -0.097839, 0.869820, 0.869756},
            {0.544441, -0.096960, 0.854894, 0.854326},
            {0.529932, -0.095872, 0.838151, 0.837732},
            {0.515779, -0.095548, 0.819548, 0.820617},
            {0.501731, -0.095113, 0.802226, 0.802053},
            {0.488460, -0.094089, 0.783689, 0.783195},
            {0.475327, -0.090839, 0.762983, 0.763119},
            {0.464226, -0.088742, 0.742139, 0.742610},
            {0.453269, -0.086276, 0.721726, 0.721344},
            {0.443945, -0.082999, 0.699622, 0.699709},
            {0.433817, -0.083011, 0.677414, 0.677623},
            {0.424498, -0.080343, 0.655256, 0.655114},
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